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Finding the Fourth Proportional to 6,709.05, 10,068.75 and 3,424.95

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Solution

The fourth proportional to 6,709.05, 10,068.75 and 3,424.95 is: 5,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.05 : 10,068.75 = 3,424.95 : x
  2. Step 2: Convert to fraction form
    6,709.05/10,068.75 = 3,424.95/x
  3. Step 3: Cross multiply
    6,709.05x = 10,068.75 × 3,424.95
  4. Step 4: Simplify right side
    6,709.05x = 34,484,965.31
  5. Step 5: Solve for x
    x = 34,484,965.31/6,709.05
  6. Step 6: Final answer
    x = 5,140.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.